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420632862 = 231331732383
BaseRepresentation
bin11001000100100…
…101100100011110
31002022111100210220
4121010211210132
51330140222422
6105423342210
713265214606
oct3104454436
91068440726
10420632862
111a6488771
12b8a51966
13691b6ab0
143dc15c06
1526ddbe5c
hex1912591e

420632862 has 64 divisors (see below), whose sum is σ = 948412416. Its totient is φ = 123482880.

The previous prime is 420632827. The next prime is 420632873. The reversal of 420632862 is 268236024.

It is a super-2 number, since 2×4206328622 = 353864009188622088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175323 + ... + 177705.

It is an arithmetic number, because the mean of its divisors is an integer number (14818944).

Almost surely, 2420632862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420632862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474206208).

420632862 is an abundant number, since it is smaller than the sum of its proper divisors (527779554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420632862 is a wasteful number, since it uses less digits than its factorization.

420632862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 420632862 is about 20509.3359716984. The cubic root of 420632862 is about 749.2631946164.

Adding to 420632862 its reverse (268236024), we get a palindrome (688868886).

The spelling of 420632862 in words is "four hundred twenty million, six hundred thirty-two thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 13 26 31 39 62 73 78 93 146 186 219 403 438 806 949 1209 1898 2263 2383 2418 2847 4526 4766 5694 6789 7149 13578 14298 29419 30979 58838 61958 73873 88257 92937 147746 173959 176514 185874 221619 347918 443238 521877 960349 1043754 1920698 2261467 2881047 4522934 5392729 5762094 6784401 10785458 13568802 16178187 32356374 70105477 140210954 210316431 420632862